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Simplifying 4m3(-5m2 + 3m + -2) = 0 Reorder the terms: 4m3(-2 + 3m + -5m2) = 0 (-2 * 4m3 + 3m * 4m3 + -5m2 * 4m3) = 0 (-8m3 + 12m4 + -20m5) = 0 Solving -8m3 + 12m4 + -20m5 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m3'. 4m3(-2 + 3m + -5m2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'm3' equal to zero and attempt to solve: Simplifying m3 = 0 Solving m3 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + 3m + -5m2)' equal to zero and attempt to solve: Simplifying -2 + 3m + -5m2 = 0 Solving -2 + 3m + -5m2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 0.4 + -0.6m + m2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + -0.6m + -0.4 + m2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + -0.6m + m2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.6m + m2 = 0 + -0.4 -0.6m + m2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 -0.6m + m2 = -0.4 The m term is -0.6m. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6m + 0.09 + m2 = -0.4 + 0.09 Reorder the terms: 0.09 + -0.6m + m2 = -0.4 + 0.09 Combine like terms: -0.4 + 0.09 = -0.31 0.09 + -0.6m + m2 = -0.31 Factor a perfect square on the left side: (m + -0.3)(m + -0.3) = -0.31 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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